Demonstrate the impact of different values on a market value weighted stock index with a hypothetical example considering three stocks (stock A, B and C), no. of shares and price for base year 2020 and for the year 2021 with two different cases Case A and Case B ( base year index value as 100)
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Demonstrate the impact of different values on a market value weighted stock index with a hypothetical example considering three stocks (stock A, B and C), no. of shares and price for base year 2020 and for the year 2021 with two different cases Case A and Case B ( base year index value as 100)
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- What is the beta stock of each stock and the beta portfolio of the two stocks using the percentages allocated to each (50%-50%, 75%-25%, 25%-75%)You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: Year rA rB 2014 -20.00% -5.00% 2016 42.00 15.00 2017 20.00 -13.00 2018 -8.00 50.00 2019 25.00 12.00 a. Calculate the average rate of return for each stock during the 5-year period. b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? c. Calculate the standard deviation of returns for each stock and for the portfolio. d. Suppose you are a risk-averse investor. Assuming Stocks A and B are your only choices, would you prefer to hold Stock A, Stock B, or the portfolio? Why?es The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Douglas McDonnell Dynamics General International Rockwell Index value Shares (millions) 420 450 250 2022 return 2023 return a. Calculate the initial value of the index if a price-weighting scheme is used. 1/1/22 $ 63 53 82 Price 1/1/23 $ 67 47 71 % % b. What is the rate of return on this index for the year ending December 31, 2022? For the year ending December 31, 2023? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. 1/1/24 $ 84 61 87
- Stocks A and B have the following historical returns: Year 2016 2017 2018 2019 2020 Stock A's Returns, ra (15.40%) 29.00 14.25 (5.00) 26.00 Stock B's Returns, ra (15.80%) 21.10 37.30 (6.20) 12.45 a. Calculate the average rate of return for each stock during the period 2016 through 2020. Round your answers to two decimal places. Stock A: Stock B: b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would the realized rate of return on the portfolio have been each year Round your answers to two decimal places. Negative values should be indicated by a minus sign. Portfolio CV Year 2016 2017 2018 2019 2020 What would the average return on the portfolio have been during this period? Round your answer to two decimal places. % % % c. Calculate the standard deviation of returns for each stock and for the portfolio. Round your answers to two decimal places. Stock A Stock B Portfolio Standard Deviation d. Calculate the coefficient of variation for each…The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Douglas McDonnell Dynamics General International Rockwell Index value Shares (millions) 430 535 210 2022 return 2023 return a. Calculate the initial value of the index if a price-weighting scheme is used. 1/1/22 $ 108 38 67 Price 1/1/23 $ 114 34 56 % % b. What is the rate of return on this index for the year ending December 31, 2022? For the year ending December 31, 2023? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. 1/1/24 $ 131 48 70You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: Year TA TB 2017 -17.00% -8.00% 2018 34.00 14.00 2019 29.00 -18.00 2020 -5.00 55.00 2021 21.00 19.00 a. Calculate the average rate of return for each stock during the 5-year period. Do not round intermediate calculations. Round your answers to two decimal places. Stock A: 12.40 % Stock B: 12.40 b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? Do not round intermediate calculations. Round your answers to two decimal places. Negative values, if any, should be indicated by a minus sign.
- Consider the following stock price and shares outstanding information. PWIyear 1: PWIYear 2: a. Compute the beginning and ending values for a price-weighted index and a market-value-weighted index. Assume a base value of 100 and Year 1 as the base period. Do not round intermediate calculations. Round answers to two decimal places. VWIyear 1: VWIYear 2: DECEMBER 31, Year 2 Shares DECEMBER 31, Year 1 Shares Outstanding Price Outstanding 107,000,000 $29 107,000,000 2,500,000 48 29,000,000 43 5,000,000² 29,000,000 % % Price $22 70 39 b. Compute the percentage change in the value of each index during the year. Do not round intermediate calculations. Round your answers to two decimal places. Percentage change in PWI: % Stock K Stock M Stock R aStock split two-for-one during the year. Percentage change in VWI: c. Compute the percentage change for an unweighted index assuming $1,000 is invested in each stock. Do not round intermediate calculations. Round your answer to two decimal places.Calculate the Holding Period Return (HPR) for the portfolio of the three stocks mentioned in Table 1. Calculate the Holding Period Return (HPR) for each of the stock A, B, and C individually given in Table 1. C. Based upon your calculations, evaluate the Holding Period Return (HPR) to exhibit what change in wealth has taken place?Consider the following table of annual rates of return, in percentage, for four common risky assets over the time period 2010 to 2019 • Berkshire Hathaway (ticker: BRK/A) • S&P 500 Index (ticker: SPX) • NASDAQ 100 Index (ticker: NDX) • Russell 2000 Index (ticker: RUT) YEAR BRK/A SPX NDX RUT 2010 21.4 15.1 19.22 26.85 2011 -4.7 2.1 2.7 -4.18 2012 16.8 16 16.82 16.35 2013 32.7 32.4 34.99 38.82 2014 27 13.7 17.94 4.89 2015 -12.5 1.4 8.43 -4.41 2016 23.4 12 5.89 21.31 2017 21.9 21.8 31.52 14.65 2018 2.8 -4.4 -1.04 -11.01 2019 11 31.5 37.96 25.52 Now assume there is a risk-free asset available and the annual risk-free rate is 2%. Using mean-variance portfolio theory, determine the 4 portfolio weightings and the portfolio variance for the unique fund F defined by the tangent portfolio and the one-fund theorem. Note that the portfolio weights sum to 1 and short selling (negative weights) are permissible.
- You are given the following information regarding four stocks in a portfolio: Company # of Shares Price ($) 2020 Price ($) 2021 ELITE 40,000 3.11 2.99 FTNA 5,000 30.37 34.10 GWEST 55,000 2.05 1.80 TTECH 20,000 5.55 4.60 Assuming 2020 is the base year with an index value of 500: i. Compute a price-weighted index of these four stocks for 2021. ii. Compute a value-weighted index of these four stocks for 2021. What is the percentage change in the value of the index from 2020 to 2021? iii. Compute the un-weighted index of these four stocks for 2019. What is the percentage change in the value of the index from 2020 to 2021Suppose a market consists of four stocks. The number of shares outstanding for each stock as well as the stock prices in two consecutive days are as follows: Stock A Stock B Stock C Stock D Shares outstanding 200 1000 400 3000 I $5 $30 $100 $40 Ро $15 $25 $80 $50 a) Compute the percentage increase in the price-weighted index for this market. b) Compute the percentage increase in the value-weighted index for this market. P₁Compute the portfolio risk if stock A and Stock B are combined in a portfolio in the ratio 6:4 respectively.